After-hours calls should come infrequently, or in situations where someone’s personal involvement (for example, as the engineer with primary responsibility for a particular component or its maintenance) is indispensable.
In my experience, things that need a lot of unplanned attention are more likely to fail, if they haven’t already, in ways that have other unacceptable consequences. Fixing them should be a priority for this reason, too.
You haven’t mentioned why you keep getting paged. Is it the same problem repeatedly, or lots of different problems? Is there any hope of addressing the underlying causes?